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Finding the Fourth Proportional to 11,468.60, 15,827.12 and 7,436.32

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Solution

The fourth proportional to 11,468.60, 15,827.12 and 7,436.32 is: 10,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.60 : 15,827.12 = 7,436.32 : x
  2. Step 2: Convert to fraction form
    11,468.60/15,827.12 = 7,436.32/x
  3. Step 3: Cross multiply
    11,468.60x = 15,827.12 × 7,436.32
  4. Step 4: Simplify right side
    11,468.60x = 117,695,529.00
  5. Step 5: Solve for x
    x = 117,695,529.00/11,468.60
  6. Step 6: Final answer
    x = 10,262.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.